Motion and Time Test - 3

A 100 m long train crosses a 10 m long bridge at a speed of 70 km/hr. How much time will it take to cross the bridge completely?

Rajan swims in a 60 m wide pool and covers a distance of 120 m in 1 minute from one end to the other, and back along a straight path. Find his average speed and average velocity, respectively.

A 100 meter long train takes 7 1/5 seconds to cross a man walking at the rate of 5 km/hr in the direction opposite to that of the train. Calculate the speed of the train.

A man can swim upstream at the rate of 8 km/hr and downstream at 10.6 km/hr. Find his speed in still water and the rate of current respectively.

A man walking at 3/4 ^th of his usual speed reaches his office 15 minutes late. What is the usual time of reaching the office?

A body takes as much time to cover 10 m as a car takes to cover 25 m. What is the distance covered by the body if the car covers 1 km in the same time?

Trees are planted on the side of a road keeping a gap of 30 meters between two consecutive trees. How many trees would a man driving a car the rate of 45 km/hr pass, if he drives for 45 minutes?

A thief is spotted by a policeman at a distance of 200 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 10 km/hr and that of the policeman is 12 km/hr, how far would the thief run before he is overtaken by the policeman?

A train overtakes two persons who are walking at the rate of 2 km/hr and 4 km/hr respectively, in the same direction as that of the train. The train passes them completely in 9 and 10 seconds respectively. Calculate the length of the train (in meters).

The distance between two points A and B is 110 km. A motorcyclist starts from A towards B at 7 am at a speed of 20 km/hr. Another motorcyclist starts from B towards A at 8 am at a speed of 25 km/hr. When will they cross each other?